Corpus ID: 237940705

# The geometric field of linearity of linear sets

@inproceedings{Jena2021TheGF,
title={The geometric field of linearity of linear sets},
author={Dibyayoti Jena and Geertrui Van de Voorde},
year={2021}
}
• Published 27 September 2021
• Mathematics
If an Fq-linear set LU in a projective space is defined by a vector subspace U which is linear over a proper superfield of Fq, then all of its points have weight at least 2. It is known that the converse of this statement holds for linear sets of rank h in PG(1, q) but for linear sets of rank k < h, the converse of this statement is in general no longer true. The first part of this paper studies the relation between the weights of points and the size of a linear set, and introduces the concept… Expand

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